13696200 has 144 divisors (see below), whose sum is σ = 52615680. Its totient is φ = 3127680.

The previous prime is 13696159. The next prime is 13696211. The reversal of 13696200 is 269631.

It is a happy number.

13696200 is a `hidden beast` number, since 1 + 36 + 9 + 620 + 0 = 666.

13696200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12057 + ... + 13143.

Almost surely, 2^13696200 is an apocalyptic number.

13696200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13696200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307840).

13696200 is an abundant number, since it is smaller than the sum of its proper divisors (38919480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13696200 is a wasteful number, since it uses less digits than its factorization.

13696200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13696200 is about 3700.8377429982. The cubic root of 13696200 is about 239.2581257906.

It can be divided in two parts, 1369 and 6200, that added together give a square (7569 = 87²).

The spelling of 13696200 in words is "thirteen million, six hundred ninety-six thousand, two hundred".